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Finding the Fourth Proportional to 408,879, 613,778.52 and 172,420.56

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Solution

The fourth proportional to 408,879, 613,778.52 and 172,420.56 is: 258,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,879 : 613,778.52 = 172,420.56 : x
  2. Step 2: Convert to fraction form
    408,879/613,778.52 = 172,420.56/x
  3. Step 3: Cross multiply
    408,879x = 613,778.52 × 172,420.56
  4. Step 4: Simplify right side
    408,879x = 105,828,036,134.37
  5. Step 5: Solve for x
    x = 105,828,036,134.37/408,879
  6. Step 6: Final answer
    x = 258,824.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.